wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

What type of number is obtained by adding two consecutive triangular numbers?

Open in App
Solution

Consider the triangular numbers 1,3,6,10...
Adding the consecutive triangular numbers we get:
1+3=4
3+6=9
6+10=16

It is clear that the numbers 4,9,16 are square numbers as:
2×2 = 4
3×2 = 9
4×2 = 16

So by adding two consecutive triangular numbers, a square number is obtained.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Water Purification
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon